Once \(Re = 0\)  is reached, we redirect the continuation tool towards decreasing \(Wi\) .
The resulting branch takes the familiar shape (from the \(Re>0\)  cases) shown in Figure REF , attaining its saddle-node bifurcation point at \(Wi \approx 7.5\) , which serves as a lower bound for the region where travelling waves exist [1]}.
Figure REF  gives a detailed description of this branch, containing snapshots of full states that illustrate how these waves evolve as \(Wi\)  is varied. Arrowhead-shaped structures are still clearly visible at low \(Wi\)  (cf. panels on the left side of Figure REF ), establishing their prevalence even in the high elasticity regime.
